《全日制普通高级中学教科书·数学》第二册(下B),对传统的立体几何教材内容进行改革,增添了好几个方面的知识:凸多面体的概念、空间向量、凸多面体的欧拉定理等等.笔者在教学过程当中,发现新教材当中有一个地方具有商榷的余地,为了使新教材进一步完善,现将发现的问题提出来,谈 “Secondary General High School Textbooks and Mathematics” Volume II (Part B) reforms the content of traditional three-dimensional geometry textbooks and adds several aspects of knowledge: the concept of convex polyhedrons, the space vector, Euler’s theorem of convex polyhedrons. And so on. During the teaching process, the author discovered that there is room for discussion in one of the new teaching materials. In order to further improve the new teaching materials, the problems that are discovered are raised and discussed.